Extensions 1→N→G→Q→1 with N=C₂²×D₄ and Q=S₃

Direct product G=N×Q with N=C₂²×D₄ and Q=S₃

		d	ρ	Label	ID
C₂²×S₃×D₄		48		C2^2xS3xD4	192,1514

Semidirect products G=N:Q with N=C₂²×D₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₄)⋊₁S₃ = D₄⋊S₄	φ: S₃/C₁ → S₃ ⊆ Out C₂²×D₄	24	6+	(C2^2xD4):1S3	192,974
(C₂²×D₄)⋊₂S₃ = D₄×S₄	φ: S₃/C₁ → S₃ ⊆ Out C₂²×D₄	12	6+	(C2^2xD4):2S3	192,1472
(C₂²×D₄)⋊₃S₃ = D₄⋊₂S₄	φ: S₃/C₁ → S₃ ⊆ Out C₂²×D₄	24	6	(C2^2xD4):3S3	192,1473
(C₂²×D₄)⋊₄S₃ = (C₂×C₆)⋊₈D₈	φ: S₃/C₃ → C₂ ⊆ Out C₂²×D₄	48		(C2^2xD4):4S3	192,776
(C₂²×D₄)⋊₅S₃ = C₂⁴.₃₂D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂²×D₄	96		(C2^2xD4):5S3	192,782
(C₂²×D₄)⋊₆S₃ = C₂²×D₄⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out C₂²×D₄	96		(C2^2xD4):6S3	192,1351
(C₂²×D₄)⋊₇S₃ = C₂×D₁₂⋊₆C₂²	φ: S₃/C₃ → C₂ ⊆ Out C₂²×D₄	48		(C2^2xD4):7S3	192,1352
(C₂²×D₄)⋊₈S₃ = C₂×C₂³⋊₂D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂²×D₄	48		(C2^2xD4):8S3	192,1358
(C₂²×D₄)⋊₉S₃ = C₂×D₆⋊₃D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂²×D₄	96		(C2^2xD4):9S3	192,1359
(C₂²×D₄)⋊₁₀S₃ = D₄×C₃⋊D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂²×D₄	48		(C2^2xD4):10S3	192,1360
(C₂²×D₄)⋊₁₁S₃ = C₂×C₂³.₁₄D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂²×D₄	96		(C2^2xD4):11S3	192,1361
(C₂²×D₄)⋊₁₂S₃ = C₂×C₁₂⋊₃D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂²×D₄	96		(C2^2xD4):12S3	192,1362
(C₂²×D₄)⋊₁₃S₃ = C₂⁴⋊₁₂D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂²×D₄	48		(C2^2xD4):13S3	192,1363
(C₂²×D₄)⋊₁₄S₃ = C₂⁴.₅₂D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂²×D₄	48		(C2^2xD4):14S3	192,1364
(C₂²×D₄)⋊₁₅S₃ = C₂⁴.₅₃D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂²×D₄	48		(C2^2xD4):15S3	192,1365
(C₂²×D₄)⋊₁₆S₃ = C₂×D₄⋊₆D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂²×D₄	48		(C2^2xD4):16S3	192,1516
(C₂²×D₄)⋊₁₇S₃ = C₂²×D₄⋊₂S₃	φ: trivial image	96		(C2^2xD4):17S3	192,1515

Non-split extensions G=N.Q with N=C₂²×D₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₄).S₃ = A₄⋊SD₁₆	φ: S₃/C₁ → S₃ ⊆ Out C₂²×D₄	24	6	(C2^2xD4).S3	192,973
(C₂²×D₄).₂S₃ = C₂×D₄⋊Dic₃	φ: S₃/C₃ → C₂ ⊆ Out C₂²×D₄	96		(C2^2xD4).2S3	192,773
(C₂²×D₄).₃S₃ = (C₆×D₄)⋊₆C₄	φ: S₃/C₃ → C₂ ⊆ Out C₂²×D₄	48		(C2^2xD4).3S3	192,774
(C₂²×D₄).₄S₃ = C₂×C₁₂.D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂²×D₄	48		(C2^2xD4).4S3	192,775
(C₂²×D₄).₅S₃ = (C₃×D₄).₃₁D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂²×D₄	48		(C2^2xD4).5S3	192,777
(C₂²×D₄).₆S₃ = C₂×C₂³.₇D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂²×D₄	48		(C2^2xD4).6S3	192,778
(C₂²×D₄).₇S₃ = C₂⁴.₂₉D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂²×D₄	96		(C2^2xD4).7S3	192,779
(C₂²×D₄).₈S₃ = C₂⁴.₃₀D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂²×D₄	96		(C2^2xD4).8S3	192,780
(C₂²×D₄).₉S₃ = C₂⁴.₃₁D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂²×D₄	96		(C2^2xD4).9S3	192,781
(C₂²×D₄).₁₀S₃ = C₂²×D₄.S₃	φ: S₃/C₃ → C₂ ⊆ Out C₂²×D₄	96		(C2^2xD4).10S3	192,1353
(C₂²×D₄).₁₁S₃ = C₂×C₂³.₂₃D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂²×D₄	96		(C2^2xD4).11S3	192,1355
(C₂²×D₄).₁₂S₃ = C₂×C₂³.₁₂D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂²×D₄	96		(C2^2xD4).12S3	192,1356
(C₂²×D₄).₁₃S₃ = C₂⁴.₄₉D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂²×D₄	48		(C2^2xD4).13S3	192,1357
(C₂²×D₄).₁₄S₃ = C₂×D₄×Dic₃	φ: trivial image	96		(C2^2xD4).14S3	192,1354

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